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7b) fill in the blanks using the available answer choices. interpret th…

Question

7b) fill in the blanks using the available answer choices.
interpret the equation in the context of the situation.
the
(blank 1)
is the
(blank 2)
of the base times the
(blank 3)

blank 1 options

  • area
  • surface area
  • volume

blank 2 options

  • area
  • circumference
  • volume

blank 3 options

  • height
  • volume
  • width

Explanation:

Step1: Recall the formula for volume

The formula for the volume of a prism (for example) is \(V = B\times h\) where \(B\) is the area of the base and \(h\) is the height.

Step2: Match the formula to the blanks

In the sentence "The [Blank 1] is the [Blank 2] of the base times the [Blank 3]", using the volume formula \(V = B\times h\) (where \(B\) is area), we can see that:

  • For Blank 1: volume (since \(V\) represents volume in the formula)
  • For Blank 2: area (since \(B\) is the area of the base)
  • For Blank 3: height (since \(h\) is the height)

Answer:

Blank 1: volume, Blank 2: area, Blank 3: height